Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 898/503, 901/900, 254/602 quickly i.e. 102755446 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 898/503, 901/900, 254/602 is 102755446.
LCM(898/503, 901/900, 254/602) = 102755446
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 898/503,901/900,254/602
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 898,901,254
Least Common Multiple of Numerators i.e. LCM of 898,901,254 is 102755446.
GCF of Denominators means GCF of 503,900,602 as per the given fractions.
GCF of 503,900,602 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 898,901,254
2 | 898, 901, 254 |
449, 901, 127 |
∴ So the LCM of the given numbers is 2 x 449 x 901 x 127 = 102755446
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 898,901,254 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(898,901,254) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(898,901,254) x common factors =1 x 2 = 2
LCM(898,901,254) = ( 898 × 901 × 254 ) / 2
LCM(898,901,254) = 205510892 / 2
LCM(898,901,254) = 102755446
Lets's calculate GCF of 503,900,602
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 102755446/1
Therefore the LCM of Fractions 898/503,901/900,254/602 is 102755446
Factors of 503
List of positive integer factors of 503 that divides 503 without a remainder.
1,503
Factors of 900
List of positive integer factors of 900 that divides 900 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900
Factors of 602
List of positive integer factors of 602 that divides 602 without a remainder.
1,2,7,14,43,86,301,602
Greatest Common Factor
We found the factors 503,900,602 . The biggest common factor number is the GCF number.
So the greatest common factor 503,900,602 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 898/503, 901/900, 254/602?
Answer: LCM of Numerators as per given numbers 898/503, 901/900, 254/602 is
LCM of Numerators i.e. for 898,901,254 is 102755446
GCF of denominators i.e. for 503,900,602 is 1.
Thus, LCM of Fractions is 102755446.Finally, LCM of Fractions for 898/503, 901/900, 254/602 is 102755446.